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Finding the Fourth Proportional to 362.53, 542.58 and 332.56

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Solution

The fourth proportional to 362.53, 542.58 and 332.56 is: 497.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.53 : 542.58 = 332.56 : x
  2. Step 2: Convert to fraction form
    362.53/542.58 = 332.56/x
  3. Step 3: Cross multiply
    362.53x = 542.58 × 332.56
  4. Step 4: Simplify right side
    362.53x = 180,440.40
  5. Step 5: Solve for x
    x = 180,440.40/362.53
  6. Step 6: Final answer
    x = 497.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.